Local Martingale and Pathwise Solutions for an Abstract Fluids Model

Local minimizers and low energy paths in a model of material microstructure with a surface energy term

Local Minimizers of the Ginzburg-Landau Functional with Prescribed Degrees

Local pointwise estimates for solutions of the $σ_2$ curvature equation on 4 manifolds

Local properties of solutions to non-autonomous parabolic PDEs with state-dependent delays

Local Real Analyticity of Solutions for sums of squares of non-linear vector fields

Local regularity for parabolic nonlocal operators

Local smoothing effect and existence for a needle crystal growth problem with anisotropic surface tension

Local smoothing effects for the water-wave problem with surface tension

Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation

Local smoothing for scattering manifolds with hyperbolic trapped sets

Local smoothing for the backscattering transform

Local smoothing for the Schrödinger equation with a prescribed loss

Local solutions in Sobolev spaces with negative indices for the "good" Boussinesq equation

Local solvability and loss of smoothness of the Navier-Stokes-Maxwell equations with large initial data

Local Solvability For a Class of Partial Differential Operators With Double Characteristics

Local Solvability of a Class of Degenerate Monge-Ampere Equations and Applications to Geometry

Local solvability of linear differential operators with double characteristics I: Necessary conditions

Local solvability of second order differential operators with double characteristics I: Necessary conditions

Local Solvability on H_1: Non-homogeneous Operators